Subgroups — C₁₉×#23800 #18029759

Order 4864.

1050 conjugacy classes of subgroups.

The subgroup lattice has 368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄×Q₁₆×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄×SD₁₆×C₁₉	C₂	1	2	yes	maximal, complemented
3	C₂×C₄×D₈×C₁₉	C₂	1	1	yes	maximal, characteristic
4	C₄×C₁₉×#124	C₂	1	2	yes	maximal, complemented
5	C₁₉×#2097	C₂	1	2	yes	maximal, complemented
6	C₁₉×#2092	C₂	1	2	yes	maximal, complemented
7	C₁₉×#2015	C₂	1	2	yes	maximal, complemented
8	C₁₉×#2012	C₂	1	2	yes	maximal
9	C₁₉×#1744	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
11	C₂²×SD₁₆×C₁₉	C₂²	1	2	yes	—
12	C₂²×D₈×C₁₉	C₂²	1	1	yes	characteristic
13	C₂×C₁₉×#124	C₂²	1	2	yes	—
14	C₂×C₄×Q₈×C₁₉	C₂²	1	2	yes	—
15	C₂×C₄×D₄×C₁₉	C₂²	1	2	yes	—
16	C₄×Q₁₆×C₁₉	—	2	4	no	—
17	C₄×SD₁₆×C₁₉	—	2	8	no	—
18	C₄×D₈×C₁₉	—	2	4	no	—
19	C₂×C₁₉×#107	C₂²	1	1	yes	characteristic
20	C₂×C₁₉×#107	C₂²	1	1	yes	characteristic
21	C₂×C₁₉×#106	C₂²	1	2	yes	—
22	C₂×C₁₉×#103	C₂²	1	2	yes	—
23	C₂×C₁₉×#103	C₂²	1	2	yes	—
24	C₂×C₁₉×#102	C₂²	1	2	yes	—
25	C₂×C₁₉×#102	C₂²	1	2	yes	—
26	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
27	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
28	C₁₉×#391	C₂²	1	2	yes	—
29	C₁₉×#390	C₂²	1	2	yes	—
30	C₁₉×#388	—	2	4	no	—
31	C₁₉×#382	C₂²	1	2	yes	—
32	C₄×C₂²⋊C₄×C₁₉	—	2	4	no	—
33	C₄³×C₁₉	C₂²	1	1	yes	characteristic
34	C₁₉×#336	C₂²	1	2	yes	—
35	C₁₉×#336	C₂²	1	2	yes	—
36	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
37	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
38	C₂³×C₄×C₁₉	—	2	2	no	—
39	C₂×Q₁₆×C₁₉	—	2	4	no	—
40	C₂×Q₁₆×C₁₉	—	2	2	no	—
41	C₂×SD₁₆×C₁₉	—	2	4	no	—
42	C₂×SD₁₆×C₁₉	—	2	4	no	—
43	C₂×SD₁₆×C₁₉	—	2	4	no	—
44	C₂×D₈×C₁₉	—	2	4	no	—
45	C₂×D₈×C₁₉	—	2	2	no	—
46	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
47	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
48	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
49	C₁₉×#124	—	2	4	no	—
50	C₁₉×#124	—	2	4	no	—
51	C₄×Q₈×C₁₉	—	2	4	no	—
52	C₄×Q₈×C₁₉	—	2	4	no	—
53	C₄×D₄×C₁₉	—	2	4	no	—
54	C₄×D₄×C₁₉	—	2	4	no	—
55	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
56	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
57	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
58	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
59	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
60	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
61	C₂×C₄²×C₁₉	—	2	2	no	—
62	C₂×C₄²×C₁₉	D₄	1	2	yes	—
63	C₂×C₄²×C₁₉	D₄	1	2	yes	—
64	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
65	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
66	C₁₉×#107	—	2	2	no	—
67	C₁₉×#107	—	2	2	no	—
68	C₁₉×#106	—	2	4	no	—
69	C₁₉×#103	—	2	4	no	—
70	C₁₉×#103	—	2	4	no	—
71	C₁₉×#102	—	2	4	no	—
72	C₁₉×#102	—	2	4	no	—
73	C₄×C₈×C₁₉	D₄	1	4	yes	—
74	C₄×C₈×C₁₉	D₄	1	4	yes	—
75	C₁₉×#95	—	2	4	no	—
76	C₁₉×#95	—	2	4	no	—
77	C₂⁴×C₁₉	—	2	2	no	—
78	C₂×Q₈×C₁₉	—	2	2	no	—
79	C₂×Q₈×C₁₉	—	2	2	no	—
80	C₂×Q₈×C₁₉	—	2	2	no	—
81	C₂×Q₈×C₁₉	—	2	2	no	—
82	C₂×Q₈×C₁₉	—	2	2	no	—
83	C₂×Q₈×C₁₉	#41	1	4	yes	—
84	C₂×D₄×C₁₉	—	2	2	no	—
85	C₂×D₄×C₁₉	—	2	2	no	—
86	C₂×D₄×C₁₉	—	2	2	no	—
87	C₂×D₄×C₁₉	—	2	2	no	—
88	C₂×D₄×C₁₉	—	2	2	no	—
89	C₂×D₄×C₁₉	#41	1	4	yes	—
90	C₂²×C₄×C₁₉	—	2	2	no	—
91	C₂²×C₄×C₁₉	—	2	2	no	—
92	C₂²×C₄×C₁₉	—	2	2	no	—
93	C₂²×C₄×C₁₉	—	4	4	no	—
94	C₂²×C₄×C₁₉	—	4	8	no	—
95	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
96	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
99	Q₁₆×C₁₉	—	2	8	no	—
100	SD₁₆×C₁₉	—	2	16	no	—
101	D₈×C₁₉	—	2	8	no	—
102	C₂×C₈×C₁₉	—	2	2	no	—
103	C₂×C₈×C₁₉	—	2	2	no	—
104	C₂×C₈×C₁₉	—	2	2	no	—
105	C₂×C₈×C₁₉	—	2	2	no	—
106	C₂×C₈×C₁₉	C₂×D₄	1	2	yes	—
107	C₂×C₈×C₁₉	C₂×D₄	1	4	yes	—
108	C₂×C₈×C₁₉	C₂×D₄	1	2	yes	—
109	C₄⋊C₄×C₁₉	—	2	2	no	—
110	C₄⋊C₄×C₁₉	—	2	2	no	—
111	C₄⋊C₄×C₁₉	—	2	2	no	—
112	C₄⋊C₄×C₁₉	—	2	2	no	—
113	C₄⋊C₄×C₁₉	—	4	4	no	—
114	C₂²⋊C₄×C₁₉	—	2	16	no	—
115	C₂²⋊C₄×C₁₉	—	4	8	no	—
116	C₂²⋊C₄×C₁₉	—	4	4	no	—
117	C₄²×C₁₉	—	2	4	no	—
118	C₄²×C₁₉	—	2	2	no	—
119	C₄²×C₁₉	—	2	2	no	—
120	C₄²×C₁₉	—	4	2	no	—
121	C₄²×C₁₉	—	4	4	no	—
122	C₄²×C₁₉	C₂×D₄	1	2	yes	—
123	C₄²×C₁₉	C₂×D₄	1	2	yes	—
124	#23800	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
125	C₂³×C₁₉	—	2	4	no	—
126	C₂³×C₁₉	—	4	2	no	—
127	C₂³×C₁₉	—	4	2	no	—
128	C₂³×C₁₉	—	4	4	no	—
129	C₂³×C₁₉	—	4	4	no	—
130	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
131	Q₈×C₁₉	—	2	4	no	—
132	Q₈×C₁₉	—	2	4	no	—
133	Q₈×C₁₉	—	4	2	no	—
134	Q₈×C₁₉	—	4	2	no	—
135	D₄×C₁₉	—	2	4	no	—
136	D₄×C₁₉	—	2	4	no	—
137	D₄×C₁₉	—	4	2	no	—
138	D₄×C₁₉	—	4	2	no	—
139	C₂×C₄×C₁₉	—	2	2	no	—
140	C₂×C₄×C₁₉	—	2	4	no	—
141	C₂×C₄×C₁₉	—	2	4	no	—
142	C₂×C₄×C₁₉	—	2	4	no	—
143	C₂×C₄×C₁₉	—	2	4	no	—
144	C₂×C₄×C₁₉	—	4	2	no	—
145	C₂×C₄×C₁₉	—	4	2	no	—
146	C₂×C₄×C₁₉	—	4	2	no	—
147	C₂×C₄×C₁₉	—	4	2	no	—
148	C₂×C₄×C₁₉	—	4	4	no	—
149	C₂×C₄×C₁₉	—	4	4	no	—
150	C₂×C₄×C₁₉	—	8	8	no	—
151	C₂×C₄×C₁₉	#127	1	2	yes	—
152	C₂×C₄×C₁₉	#127	1	2	yes	—
153	C₂×C₄×C₁₉	#135	1	4	yes	—
154	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
155	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
156	C₂×C₄×C₁₉	C₂×#41	1	2	yes	—
157	C₂×C₄×C₁₉	C₂×#41	1	2	yes	—
158	C₈×C₁₉	—	2	2	no	—
159	C₈×C₁₉	—	2	4	no	—
160	C₈×C₁₉	—	2	2	no	—
161	C₂×C₄×Q₁₆	C₂×C₁₉	1	1	yes	characteristic, complemented
162	C₂×C₄×SD₁₆	C₂×C₁₉	1	2	yes	complemented
163	C₂×C₄×D₈	C₂×C₁₉	1	1	yes	characteristic
164	C₄×#124	C₂×C₁₉	1	2	yes	complemented
165	#2097	C₂×C₁₉	1	2	yes	complemented
166	#2092	C₂×C₁₉	1	2	yes	complemented
167	#2015	C₂×C₁₉	1	2	yes	complemented
168	#2012	C₂×C₁₉	1	2	yes	—
169	#1744	C₂×C₁₉	1	1	yes	characteristic, complemented
170	C₂²×C₁₉	—	4	8	no	—
171	C₂²×C₁₉	—	4	4	no	—
172	C₂²×C₁₉	—	8	4	no	—
173	C₂²×C₁₉	—	8	2	no	—
174	C₂²×C₁₉	—	8	2	no	—
175	C₂²×C₁₉	#525	1	2	yes	—
176	C₂²×C₁₉	C₂×#127	1	1	yes	characteristic
177	C₂²×C₁₉	C₂×#135	1	2	yes	—
178	C₂²×C₁₉	#575	1	2	yes	—
179	C₄×C₁₉	—	2	2	no	—
180	C₄×C₁₉	—	4	4	no	—
181	C₄×C₁₉	—	4	4	no	—
182	C₄×C₁₉	—	8	2	no	—
183	C₄×C₁₉	—	8	2	no	—
184	C₄×C₁₉	#495	1	4	yes	—
185	C₄×C₁₉	#525	1	1	yes	characteristic
186	C₄×C₁₉	#525	1	2	yes	—
187	C₄×C₁₉	#525	1	1	yes	characteristic
188	C₂²×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
189	C₂²×SD₁₆	C₂²×C₁₉	1	2	yes	—
190	C₂²×D₈	C₂²×C₁₉	1	1	yes	characteristic
191	C₂×#124	C₂²×C₁₉	1	2	yes	—
192	C₂×C₄×Q₈	C₂²×C₁₉	1	2	yes	—
193	C₂×C₄×D₄	C₂²×C₁₉	1	2	yes	—
194	C₄×Q₁₆	—	2	4	no	—
195	C₄×SD₁₆	—	2	8	no	—
196	C₄×D₈	—	2	4	no	—
197	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic
198	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic
199	C₂×#106	C₂²×C₁₉	1	2	yes	—
200	C₂×#103	C₂²×C₁₉	1	2	yes	—
201	C₂×#103	C₂²×C₁₉	1	2	yes	—
202	C₂×#102	C₂²×C₁₉	1	2	yes	—
203	C₂×#102	C₂²×C₁₉	1	2	yes	—
204	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
205	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
206	#391	C₂²×C₁₉	1	2	yes	—
207	#390	C₂²×C₁₉	1	2	yes	—
208	#388	—	2	4	no	—
209	#382	C₂²×C₁₉	1	2	yes	—
210	C₄×C₂²⋊C₄	—	2	4	no	—
211	C₄³	C₂²×C₁₉	1	1	yes	characteristic
212	#336	C₂²×C₁₉	1	2	yes	—
213	#336	C₂²×C₁₉	1	2	yes	—
214	C₂×C₁₉	—	8	4	no	—
215	C₂×C₁₉	#2397	1	1	yes	characteristic
216	C₂×C₁₉	#3102	1	4	yes	—
217	C₂×C₁₉	C₂×#495	1	1	yes	characteristic
218	C₂×C₁₉	#3150	1	1	yes	characteristic
219	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
220	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
221	C₂³×C₄	—	2	2	no	—
222	C₂×Q₁₆	—	2	4	no	—
223	C₂×Q₁₆	—	2	2	no	—
224	C₂×SD₁₆	—	2	4	no	—
225	C₂×SD₁₆	—	2	4	no	—
226	C₂×SD₁₆	—	2	4	no	—
227	C₂×D₈	—	2	4	no	—
228	C₂×D₈	—	2	2	no	—
229	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
230	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
231	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
232	#124	—	2	4	no	—
233	#124	—	2	4	no	—
234	C₄×Q₈	—	2	4	no	—
235	C₄×Q₈	—	2	4	no	—
236	C₄×D₄	—	2	4	no	—
237	C₄×D₄	—	2	4	no	—
238	C₂×C₄⋊C₄	—	2	2	no	—
239	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
240	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
241	C₂×C₂²⋊C₄	—	2	4	no	—
242	C₂×C₂²⋊C₄	—	2	2	no	—
243	C₂×C₂²⋊C₄	—	2	4	no	—
244	C₂×C₄²	—	2	2	no	—
245	C₂×C₄²	D₄×C₁₉	1	2	yes	—
246	C₂×C₄²	D₄×C₁₉	1	2	yes	—
247	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
248	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
249	#107	—	2	2	no	—
250	#107	—	2	2	no	—
251	#106	—	2	4	no	—
252	#103	—	2	4	no	—
253	#103	—	2	4	no	—
254	#102	—	2	4	no	—
255	#102	—	2	4	no	—
256	C₄×C₈	D₄×C₁₉	1	4	yes	—
257	C₄×C₈	D₄×C₁₉	1	4	yes	—
258	#95	—	2	4	no	—
259	#95	—	2	4	no	—
260	C₁₉	#23800	1	1	yes	characteristic, direct product factor, Sylow
261	C₂⁴	—	2	2	no	—
262	C₂×Q₈	—	2	2	no	—
263	C₂×Q₈	—	2	2	no	—
264	C₂×Q₈	—	2	2	no	—
265	C₂×Q₈	—	2	2	no	—
266	C₂×Q₈	—	2	2	no	—
267	C₂×Q₈	#41×C₁₉	1	4	yes	—
268	C₂×D₄	—	2	2	no	—
269	C₂×D₄	—	2	2	no	—
270	C₂×D₄	—	2	2	no	—
271	C₂×D₄	—	2	2	no	—
272	C₂×D₄	—	2	2	no	—
273	C₂×D₄	#41×C₁₉	1	4	yes	—
274	C₂²×C₄	—	2	2	no	—
275	C₂²×C₄	—	2	2	no	—
276	C₂²×C₄	—	2	2	no	—
277	C₂²×C₄	—	4	4	no	—
278	C₂²×C₄	—	4	8	no	—
279	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
280	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
281	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
282	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
283	Q₁₆	—	2	8	no	—
284	SD₁₆	—	2	16	no	—
285	D₈	—	2	8	no	—
286	C₂×C₈	—	2	2	no	—
287	C₂×C₈	—	2	2	no	—
288	C₂×C₈	—	2	2	no	—
289	C₂×C₈	—	2	2	no	—
290	C₂×C₈	C₂×D₄×C₁₉	1	2	yes	—
291	C₂×C₈	C₂×D₄×C₁₉	1	4	yes	—
292	C₂×C₈	C₂×D₄×C₁₉	1	2	yes	—
293	C₄⋊C₄	—	2	2	no	—
294	C₄⋊C₄	—	2	2	no	—
295	C₄⋊C₄	—	2	2	no	—
296	C₄⋊C₄	—	2	2	no	—
297	C₄⋊C₄	—	4	4	no	—
298	C₂²⋊C₄	—	2	16	no	—
299	C₂²⋊C₄	—	4	8	no	—
300	C₂²⋊C₄	—	4	4	no	—
301	C₄²	—	2	4	no	—
302	C₄²	—	2	2	no	—
303	C₄²	—	2	2	no	—
304	C₄²	—	4	2	no	—
305	C₄²	—	4	4	no	—
306	C₄²	C₂×D₄×C₁₉	1	2	yes	—
307	C₄²	C₂×D₄×C₁₉	1	2	yes	—
308	C₂³	—	2	4	no	—
309	C₂³	—	4	2	no	—
310	C₂³	—	4	2	no	—
311	C₂³	—	4	4	no	—
312	C₂³	—	4	4	no	—
313	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
314	Q₈	—	2	4	no	—
315	Q₈	—	2	4	no	—
316	Q₈	—	4	2	no	—
317	Q₈	—	4	2	no	—
318	D₄	—	2	4	no	—
319	D₄	—	2	4	no	—
320	D₄	—	4	2	no	—
321	D₄	—	4	2	no	—
322	C₂×C₄	—	2	2	no	—
323	C₂×C₄	—	2	4	no	—
324	C₂×C₄	—	2	4	no	—
325	C₂×C₄	—	2	4	no	—
326	C₂×C₄	—	2	4	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	—	4	2	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	—	4	4	no	—
332	C₂×C₄	—	4	4	no	—
333	C₂×C₄	—	8	8	no	—
334	C₂×C₄	C₁₉×#127	1	2	yes	—
335	C₂×C₄	C₁₉×#127	1	2	yes	—
336	C₂×C₄	C₁₉×#135	1	4	yes	—
337	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
338	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
339	C₂×C₄	C₂×#41×C₁₉	1	2	yes	—
340	C₂×C₄	C₂×#41×C₁₉	1	2	yes	—
341	C₈	—	2	2	no	—
342	C₈	—	2	4	no	—
343	C₈	—	2	2	no	—
344	C₂²	—	4	8	no	—
345	C₂²	—	4	4	no	—
346	C₂²	—	8	4	no	—
347	C₂²	—	8	2	no	—
348	C₂²	—	8	2	no	—
349	C₂²	C₁₉×#525	1	2	yes	—
350	C₂²	C₂×C₁₉×#127	1	1	yes	characteristic
351	C₂²	C₂×C₁₉×#135	1	2	yes	—
352	C₂²	C₁₉×#575	1	2	yes	—
353	C₄	—	2	2	no	—
354	C₄	—	4	4	no	—
355	C₄	—	4	4	no	—
356	C₄	—	8	2	no	—
357	C₄	—	8	2	no	—
358	C₄	C₁₉×#495	1	4	yes	—
359	C₄	C₁₉×#525	1	1	yes	characteristic
360	C₄	C₁₉×#525	1	2	yes	—
361	C₄	C₁₉×#525	1	1	yes	characteristic
362	C₂	—	8	4	no	—
363	C₂	C₁₉×#2397	1	1	yes	characteristic
364	C₂	C₁₉×#3102	1	4	yes	—
365	C₂	C₂×C₁₉×#495	1	1	yes	characteristic
366	C₂	C₁₉×#3150	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₁₉	C₂×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
socle	C₂³×C₁₉	C₂²×D₄
prime radical	C₂²×D₈×C₁₉	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₁₉ ◁ C₄³×C₁₉ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂×C₄×Q₁₆×C₁₉	C₂	semidirect
2. C₂×C₄×SD₁₆×C₁₉	C₂	semidirect
4. C₄×C₁₉×#124	C₂	semidirect
5. C₁₉×#2097	C₂	semidirect
6. C₁₉×#2092	C₂	semidirect
7. C₁₉×#2015	C₂	semidirect
9. C₁₉×#1744	C₂	semidirect
124. #23800	C₁₉	direct (N × H)
161. C₂×C₄×Q₁₆	C₂×C₁₉	semidirect
162. C₂×C₄×SD₁₆	C₂×C₁₉	semidirect
164. C₄×#124	C₂×C₁₉	semidirect
165. #2097	C₂×C₁₉	semidirect
166. #2092	C₂×C₁₉	semidirect
167. #2015	C₂×C₁₉	semidirect
169. #1744	C₂×C₁₉	semidirect
260. C₁₉	#23800	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₄×Q₁₆×C₁₉	2
C₂×C₄×SD₁₆×C₁₉	2
C₂×C₄×D₈×C₁₉	2
C₄×C₁₉×#124	2
C₁₉×#2097	2
C₁₉×#2092	2
C₁₉×#2015	2
C₁₉×#2012	2
C₁₉×#1744	2
#23800	19

Subgroups — C19×#23800 #18029759

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#23800 #18029759